On the Fourier-Borel transformations of analytic functionals on the complex sphere

DOI10.2748/tmj/1178228454zbMath0649.46038OpenAlexW1999029092MaRDI QIDQ1105810

Ryoko Wada

Publication date: 1986

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228454

zbMATH Keywords

Fourier-Borel transformations of analytic functionals on the complex sphere

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Hyperfunctions, analytic functionals (46F15)

Related Items (5)

Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold ⋮ Coherent states on spheres ⋮ Hilbert spaces related to harmonic functions ⋮ A Hilbert space of harmonic functions ⋮ On a Bargmann transform and coherent states for the n-sphere

Cites Work

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• On a Bargmann-type transform and a Hilbert space of holomorphic functions
• A generalization of the Fourier-Borel transformation for the analytic functionals with non convex carrier
• The Fourier-Borel transformations of analytic functionals on the complex sphere
• An integral representation of an eigenfunction of the Laplacian on the Euclidean space
• A Nonunitary Pairing of Polarizations for the Kepler Problem
• COHERENT STATES AND KAHLER MANIFOLDS
• Équations différentielles d'ordre infini

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